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Finding the Third Proportional to 331,504.13 and 715,830.38

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Solution

The third proportional to 331,504.13 and 715,830.38 is: 1,545,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,504.13 : 715,830.38 = 715,830.38 : x
  2. Step 2: Convert to fraction form
    331,504.13/715,830.38 = 715,830.38/x
  3. Step 3: Cross multiply
    331,504.13x = 715,830.38 × 715,830.38
  4. Step 4: Simplify right side
    331,504.13x = 512,413,125,772.64
  5. Step 5: Solve for x
    x = 512,413,125,772.64/331,504.13
  6. Step 6: Final answer
    x = 1,545,721.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.